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Simplifying 3000x + -220x2 + 4x2 = 0 Combine like terms: -220x2 + 4x2 = -216x2 3000x + -216x2 = 0 Solving 3000x + -216x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24x'. 24x(125 + -9x) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(125 + -9x)' equal to zero and attempt to solve: Simplifying 125 + -9x = 0 Solving 125 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -9x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -9x = 0 + -125 -9x = 0 + -125 Combine like terms: 0 + -125 = -125 -9x = -125 Divide each side by '-9'. x = 13.88888889 Simplifying x = 13.88888889Solution
x = {0, 13.88888889}
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